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Finding the Fourth Proportional to 284,004.88, 423,681.54 and 276,282.96

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Solution

The fourth proportional to 284,004.88, 423,681.54 and 276,282.96 is: 412,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,004.88 : 423,681.54 = 276,282.96 : x
  2. Step 2: Convert to fraction form
    284,004.88/423,681.54 = 276,282.96/x
  3. Step 3: Cross multiply
    284,004.88x = 423,681.54 × 276,282.96
  4. Step 4: Simplify right side
    284,004.88x = 117,055,989,968.56
  5. Step 5: Solve for x
    x = 117,055,989,968.56/284,004.88
  6. Step 6: Final answer
    x = 412,161.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.